Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.
A carpenter cut the top section of a window frame with a 37º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale.

SOMEONE PLEASE HELP ME!

Answer:

the 2 x 0.5 triangle fabric piece cost $2.25

Step-by-step explanation:

Answer:

=========================

The vertex form of the given equation is (x - 9/2)² - 1/4

Vertex form

The general vertex form is written as

y = a (x - h)² + k

Where, a, h, and k are real numbers, where a ≠ 0.

And x and y are variables where (x, y) represents a points.

Given,

Here we have the equation x² = 9x - 20

Now, we have to convert this equation into vertex form.

In order to convert this into vertex form, first we have to rewrite the given equation as follows:

=> x² - 9x + 20 = 0

Here the coefficient of the x is 9, so now we divide this by 2 : 

=> 9 ÷ 2 = 9/2

And then we have to square it (9/2) ² then we get the value 81/4.

So we add and subtract 81/4, then we get,

=>  x² - 9x + 81/4 - 81/4 + 20 = 0

Now, we have to rewrite it as,

=> [x² - 9x + 81/4] + [-81/4 - 20]

When we simplify it then we get,

=> (x - 9/2)² - 1/4

Therefore, the vertex form of the equation is  (x - 9/2)² - 1/4.

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Answer: Minimum cost = $264

Paint left over = 7/8 qt

Step-by-step explanation:

6 gal covers 1920 sf (6 gal x 320 sf/gal)

6 gal x $29/gal = $174

2250 sf - 1920 sf = 330 sf

Need 4.125 qt to cover 330 sf, but you can't buy a partial quart

5 qt x $18/qt = $90

Total cost = $174 + $90 = $264

You have 7/8 qt left over

Answer:

Y= -1.67x + 0.67

Step-by-step explanation:

Hope this was ok

By 6 months both of them have same amount

Each of them have $700 at that 6 months.

In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality.

Given that, Erlena has $250 and she saves $75/month then,

The equation is,

250+75x

And also given that, Jabril has $400 and he saves $50/month then,

The equation is,

400+50x

250+75x=400+50x

150=25x

x=6

By 6 months they have same amount

250+75(6)=700

400+5(6)=700

They both have $700 at that 6 months

Therefore, By 6 months both of them have same amount

Each of them have $700 at that 6 months.

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Answer:

last answer.

Step-by-step explanation:

First of all, how did you get the second answer?

Line a has to be perpendicular to Line b.

Perpendicular transversal theorem:

In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.

In this case, a||c, and line b is perpendicular to line c.

We can therefore use perpendicular transversal theorem to state that line a is perpendicular to line b.

The zeroes of the polynomial are x=3, x=-5 and x=3/5

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

Given:

f(x)=5x³+7x²−81x+45.

let us take x= 3

5(27)+7(9)-81(3)+45

=135+63-243+45

= 243-243

=0

So, 3 is a root of polynomial and x-3 is factor of Polynomial.

Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15

Now, factorise 5x²+22x-15.

= 5x²+25x-3x-15

= 5x( x+ 5) - 3(x+ 5)

= (5x - 3)( x+ 5)

Then, x= 3/5 and 5

Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5

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The function on the graph can't be a sin, then the correct option is:

y = A*cos(k*x) + C

We know that the graph is either of the equation:

y = B*sin(k*x) - C

Or

y = A*cos(k*x) + C

Now, notice that there is a maximum at x = 0

And we also know that:

sin(0) = 0

cos(0) = 1

Then the option with the sin can be discarded, as it does not have a maximum at x = 0.

The correct option is:

y = A*cos(k*x) + C

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Answer:

[tex]250\pi[/tex] cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.

Answer: x= p16

Step-by-step explanation:

Answer:

AB = 75cm

Step-by-step explanation:

Let BC equal x. Then AB is 5x because it is 5 times as long.

The whole length is 90, that was given.

Add the pieces, 5x and x, and set them equal to 90.

Solve the equation. See image. Last, calculate AB.

see image.

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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Answer:

Step-by-step explanation:

Quadratic equation:

Substitute p and q:

Find the value of a, using the y-intercept:

The equation is:

or

The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

First, let us understand the reflection of a point:

The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.

We are given:

The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).

We need to find the reflection of the points across the line y = x.

So,

P(-1, 4) = P'(1, -4)

Q(8, -3) = Q'(-8, 3)

R(2, -6) = R'(-2, 6)

Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

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Answer:

The second option so 54 degrees.

Step-by-step explanation:

The line drawn on angle d in both spots indicates it's congruent so if one side is a number the other side is that same number so in this case, it's 54 degrees.

Answer:

z = 30x + 110y

x = y + 2

z = royalties

x = no of commercial

y = no of movies

Answer:

28.26

Step-by-step explanation:

The relationship for the expressed value will be an equation, as there is equal sign in between the expression.

What is an equation?

Two or more expressions with an equal sign is called an equation.

As in given expressed value two expressions are equated with equal sign,

5i+3=7

Here, Left hand side is equal to Right hand side.

Also have Equal sign.

Whereas in expression, there will be no equal sign,

only - variables, operators and numeric values.

For Function, expression is equated to F(variable).

Hence, equation is the relationship for 5i+3=7.

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Answer:

[tex]0.2[/tex]

Step-by-step explanation:

... .. ... .. .

Answer:

False. -1 is more than -2, so the first value shows it is false.

The maximum cost that a patient would pay if he is in the lowest 4% of all paying patients is C) $14,725.

Given that

mean = $19800

standard deviation = $2900

Using standard normal table ,

P(Z < z) = 4%

P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Using z-score formula,

x = z * standard deviation + mean

x = -1.75 * 2900 + 19800 = 14725

The maximum cost is $14725

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Answer:

2.0 x 10^3

Step-by-step explanation:

 7.2x10^8/3.6x10^5= 2000= 2.0 x 10^3

Your net income and Net profit margin percentage, given the cost of the pack of lenses, and your operating expenses are:

To find the net income, first find the revenue:

= Number of packs x selling price

= 8, 000 x 59.95

= $479,600

The cost of goods sold is:

= Cost of lenses x number of lenses

= 29.95 x 8,000

= $239, 600

The net income is:
= Revenue - cost of goods sold - operating expenses

= 479, 600 - 239,600 - 144,080

= $95, 920

The net profit margin percentage is:

= Net income / total revenue

= 95, 920 / 497, 600

= 19.3%

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Answer: 10

Step-by-step explanation:

    To find the slope, we will take two points and find the change in y over change in x.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{35-15}{3-1}=\frac{20}{2} =10[/tex]

    The slope of the table is 10.

We are looking for the functions which are symmetric with respect to the y-axis.

This should be an even function with the vertex on the y-axis.

All functions of odd degree or restricted domain or range are excluded:

Possible symmetric functions:

See the attached. Those with red cross are excluded, with green mark are correct choices.

Answer:

[tex]y=-7x^2[/tex]

[tex]y=8x^2-3[/tex]

Step-by-step explanation:

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

Therefore, any function that includes the term x² will be symmetric with respect to the x-axis since (-x)² = x².

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=-7x^2\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=-7(-x)^2\\&\textsf{Simplify}: \quad &y&=-7x^2\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=8x^2-3\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=8(-x)^2-3\\&\textsf{Simplify}: \quad &y&=8x^2-3\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

The probability is 0.00332.

From the given question,

Danny Nguyen has A 7 and opponent has A K+.

The flop is : 5 K 5

As there are two players playing the remaining cards in the deck will be (52 - 2 - 2 - 3 -1(burn)) = 44

For Nguyen to win he needs two of the three 7's left in the deck for turn and river.

For turn we have to select a 7 from the three 7's and for river we have to select a 7 of the remaining two 7's.

So the probability is

P = [tex]\frac{\binom{3}{1}}{\binom{43}{1}}*\frac{\binom{2}{1}}{\binom{41}{1}}[/tex]

P = 0.00332

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Amount of $150,000 represents 42.86% of $350,000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.

Assume that it represents [x%] percent of the total value. Then, we can write -

x = (150000/350000) x 100

x = 42.86%

Therefore, $150,000 represents 42.86% of $350,000.

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